CN109623493A - A method of determining the real-time thermal deformation posture of main shaft - Google Patents

A method of determining the real-time thermal deformation posture of main shaft Download PDF

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CN109623493A
CN109623493A CN201910100942.XA CN201910100942A CN109623493A CN 109623493 A CN109623493 A CN 109623493A CN 201910100942 A CN201910100942 A CN 201910100942A CN 109623493 A CN109623493 A CN 109623493A
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main shaft
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spindle box
temperature
displacement sensor
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刘阔
刘海波
韩灵生
甘涌泉
韩伟
李特
王永青
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Dalian University of Technology
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    • B23Q17/007Arrangements for observing, indicating or measuring on machine tools for managing machine functions not concerning the tool
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    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N25/00Investigating or analyzing materials by the use of thermal means
    • G01N25/16Investigating or analyzing materials by the use of thermal means by investigating thermal coefficient of expansion
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N25/00Investigating or analyzing materials by the use of thermal means
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Abstract

The present invention provides a kind of methods for determining the real-time thermal deformation posture of main shaft, belong to NC Machine Error the field of test technology.This method is for the status for lacking main shaft thermal deformation posture real-time monitoring in process at present, first respectively using the temperature and main shaft radial direction Thermal Error of spindle box upper and lower surface when temperature sensor and displacement sensor test main shaft operation;Then the thermal change amount of spindle box upper and lower surface is calculated according to main shaft radial direction Thermal Error, and establishes the model of thermal change amount Yu spindle box upper and lower surface temperature;It is last that the real-time thermal deformation posture of main shaft is determined according to the spindle box upper and lower surface temperature acquired in real time.The great advantage of this method is that the real-time monitoring of main shaft thermal deformation posture in process can be achieved.

Description

A method of determining the real-time thermal deformation posture of main shaft
Technical field
The invention belongs to NC Machine Error the field of test technology, specially a kind of judgement real-time thermal deformation posture of main shaft Method.
Background technique
In the process of numerically-controlled machine tool, thermal deformation is to influence one of the principal element of machining accuracy.Since main shaft exists Calorific value is larger in operational process, therefore its thermal deformation is also larger.The thermal deformation of main shaft can not only cause axial thermal stretching error, Radial thermal drift error and hot heeling error can also be caused.These errors not only will affect the relative position of cutter and workpiece, It also will affect the relative attitude of cutter and workpiece.Facilitate the machining accuracy of understanding lathe to the detection of main shaft thermal deformation, reduces Rejection rate and analysis for main shaft thermal deformation and control provide data basis, therefore are very necessary.Existing scholar at present The detection method of main shaft thermal deformation is had conducted extensive research.
Main shaft of numerical control machine tool Thermal Error detection at present is broadly divided into two classes:
(1) it the Spindle thermal error detection based on displacement sensor: is passed using the displacement of the types such as laser, capacitor, current vortex Sensor detects axial thermal stretching error and radial thermal drift error in main shaft operational process.In patent, " machine tool spindle thermal is missed Poor monitoring system ", the patent No.: Spindle thermal error is detected using laser displacement sensor in CN201410064187.1;In patent " test method of machine tool spindle thermal error test under simulated condition loading condition " patent No.: is applied in CN201010292286.7 Current vortex sensor detects Spindle thermal error.
(2) the Spindle thermal error detection based on workpiece: Spindle thermal error is estimated using the machining feature of workpiece.In patent " test of numerical control machine tool cutting Thermal Error and evaluation method based on milling aperture ", the patent No.: in CN201310562312.7, Cube workpiece surface processes one group of aperture, detects Spindle thermal error according to aperture and hole depth.
As can be seen that the problem of Spindle thermal error detection at present, is: the Spindle thermal error detection based on displacement sensor Although method can detecte out main shaft thermal drift error and hot heeling error, but can only be detected in the unloaded state, with There are difference for actual processing.Although the Spindle thermal error detection method based on workpiece is tested under actual processing operating condition, Main shaft axial direction thermal drift error can only be detected, can not obtain main shaft thermal deformation posture.As can be seen that current Spindle thermal error inspection Survey method can not realize the real-time monitoring to main shaft thermal deformation posture under machine tooling state.
Summary of the invention
The present invention can not be under machine tooling state to main shaft thermal deformation posture real-time monitoring for existing detection method Status provides a kind of method for determining the real-time thermal deformation posture of main shaft, realizes main shaft thermal deformation posture in the actual processing process Real-time monitoring.
Technical solution of the present invention:
A method of the real-time thermal deformation posture of main shaft is determined, firstly, applying temperature sensor and displacement sensor respectively The temperature and main shaft radial direction Thermal Error of spindle box upper and lower surface when testing main shaft operation;Then, according to main shaft radial direction Thermal Error meter The thermal change amount of spindle box upper and lower surface is calculated, and establishes the model of thermal change amount Yu spindle box upper and lower surface temperature;Finally, being based on The model determines the real-time thermal deformation posture of main shaft according to the spindle box upper and lower surface temperature acquired in real time;Specific step is as follows:
The first step, temperature and Thermal Error test
First temperature sensor 1 is arranged in the upper surface of spindle box 2, and second temperature sensor 3 is arranged under spindle box 2 Surface;Check bar 4 is fixed on main shaft by knife handle interface;First displacement sensor 6 and second displacement sensor 5 are arranged in check bar 4 sides, wherein second displacement sensor 5 is close to main shaft nose;
Test process are as follows: main shaft was first with revolving speed R (being not higher than maximum speed of spindle) continuous service M hours (such as 4 hours) It heats up, main shaft, which stops operating, later cools down N hours (such as 3 hours);In the process, with some cycles (such as 10 seconds) acquisition First temperature sensor 1, second temperature sensor 3, the data of the first displacement sensor 6 and second displacement sensor 5;
Second step establishes the model of thermal change amount Yu spindle box upper and lower surface temperature
If the data of the first temperature sensor 1 acquisition are t1, the data that second temperature sensor 3 acquires are t2, the first displacement The data that sensor 6 acquires are p1, the data that second displacement sensor 5 acquires are p2;T is obtained according to formula (1)1Increment △ t1、 t2Increment △ t2、p1Increment △ p1And p2Increment △ p2
If the distance of 2 upper surface of spindle box to lower surface is A1, 2 lower surface of spindle box to second displacement sensor 5 away from From for A2, the distance of the 5 to the first displacement sensor of second displacement sensor 6 is A3
(1) thermal expansion amount of spindle box upper and lower surface is calculated
According to main axle structure and data △ p1With △ p2, 2 upper surface thermal change amount of spindle box is calculated based on following methods eupperWith lower surface thermal change amount elower
If the calculation formula of intermediate variable α and β are as follows:
According to current time α, β, △ p1With △ p2Relationship, be divided into following situations calculate current time spindle box above and below The thermal change amount on surface;
A) as △ p1(i) >=0, △ p2(i) >=0, △ p1(i)>△p2(i), β (i)≤A2When:
B) as △ p1(i) >=0, △ p2(i) >=0, △ p1(i)>△p2(i), β (i) > A2, β (i)≤(A1+A2) when:
C) as △ p1(i) >=0, △ p2(i) >=0, △ p1(i)>△p2(i), β (i) > (A1+A2) when:
D) as △ p1(i) >=0, △ p2(i) >=0, △ p1(i)≤△p2(i) when:
E) as △ p1(i) > 0, △ p2(i) < 0 when:
F) as △ p1(i) < 0, △ p2(i) > 0 when:
G) as △ p1(i) < 0, △ p2(i) < 0, △ p1(i)≥△p2(i) when:
H) as △ p1(i) < 0, △ p2(i) < 0, △ p1(i)<△p2(i), β (i) > (A1+A2) when:
I) as △ p1(i) < 0, △ p2(i) < 0, △ p1(i)<△p2(i), β (i) < (A1+A2), β (i) > A2When:
J) as △ p1(i) < 0, △ p2(i) < 0, △ p1(i)<△p2(i), β (i)≤A2When:
(2) model of spindle box upper and lower surface thermal change amount and temperature is established
Shown in the relational model such as formula (13) of spindle box upper and lower surface thermal change amount and upper and lower surface temperature:
A in formula1、a2、b1And b2For coefficient;
Using least square method, according to data eupper、elower、△t1With △ t2A is calculated1、a2、b1And b2
Third step, the judgement of the real-time thermal deformation posture of main shaft
In main shaft operational process, the first temperature sensor 1 and second temperature sensor 3 are acquired with some cycles (such as 10 seconds) Data;Based on formula (13), spindle box upper and lower surface thermal change amount e is calculated according to the temperature data at current timeupperWith elower;As follows, current time main shaft thermal deformation posture is determined in the case where not using displacement sensor;
If shown in the calculating of intermediate variable γ such as formula (14):
According to current time eupper、elowerWith the relationship of γ, the main shaft at current time is calculated separately by following situations The radial Thermal Error △ p of 5 position of one displacement sensor 6 and second displacement sensorc1With △ pc2
A) work as eupper(i)≥0、elower(i) >=0, eupper(i)≥elower(i), γ (i)≤A2When:
B) work as eupper(i)>0、elower(i) < 0 when:
C) work as eupper(i)<0、elower(i) < 0, eupper(i)≥elower(i) when:
D) work as eupper(i)<0、elower(i) < 0, eupper(i)<elower(i), γ (i) > (A2+A3) when:
F) work as eupper(i)<0、elower(i) < 0, eupper(i)<elower(i), γ (i)≤(A2+A3), γ (i) > A2When:
G) work as eupper(i)≥0、elower(i) >=0, eupper(i)>elower(i), γ (i) > (A2+A3) when:
H) work as eupper(i)≥0、elower(i) >=0, eupper(i)≤elower(i) when:
I) work as eupper(i)<0、elower(i) > 0 when:
J) work as eupper(i)<0、elower(i) < 0, eupper(i)≤elower(i), γ (i)≤A2When:
According to △ pc1With △ pc2, the thermal deformation posture of main shaft, i.e. main shaft radial direction Thermal Error E are calculated according to formula (25)thermal With hot heeling errorIn this way, determining the real-time thermal deformation posture of main shaft:
The invention has the benefit that the real-time monitoring of main shaft thermal deformation posture in process can be achieved in the present invention.Mesh Before there is no the method for real-time of main shaft thermal deformation posture in process.Present invention can be implemented in machine toolings in the process to master The real-time monitoring of axis thermal deformation posture judges that can main shaft current state meet Workpiece Machining Accuracy requirement with this, avoids processing Precision is overproof, improves product qualification rate.The method of real-time can also mention for the analysis of main shaft Hot Deformation Mechanism, modeling and compensation For foundation.
Detailed description of the invention
Fig. 1 is temperature sensor arrangement and main shaft thermal deformation attitude test schematic diagram.
Fig. 2 is the real-time thermal deformation pose discrimination flow chart of main shaft.
Fig. 3 is the temperature of the first and second temperature sensors acquisition.
Fig. 4 is the displacement of the first and second displacement sensors acquisition.
Fig. 5 (a) is the main shaft radial direction Thermal Error of prediction.
Fig. 5 (b) is the hot heeling error of main shaft of prediction.
In figure: 1 first temperature sensor;2 spindle boxes;3 second temperature sensors;4 check bars;5 second displacement sensors;6 First displacement sensor.
Specific embodiment
It is clear in order to be more clear the object, technical solutions and advantages of the present invention, the present invention is made with reference to the accompanying drawing It is described in detail.
By taking certain three shaft vertical machining center of type as an example, the embodiment that the present invention will be described in detail.The machining center main shaft is most High revolving speed 15000r/min, spindle motor are connect with main shaft using shaft coupling, and main shaft is without cooling device.
The first step, temperature and Thermal Error test
First temperature sensor (1) is arranged in the upper surface of spindle box (2), and second temperature sensor (3) is arranged in main shaft The lower surface of case (2).Check bar (4) is fixed on main shaft by knife handle interface.First displacement sensor (6) and second displacement sensing Device (5) is arranged in check bar side, and wherein second displacement sensor (5) is close to main shaft nose.Specific arrangement method is as shown in Figure 1.
Test process are as follows: main shaft is heated up for 4 hours first with revolving speed 8000r/min continuous service, and main shaft is static later Cooling 3 hours.In the process, the first temperature sensor (1), second temperature sensor (3), first are acquired with the 10s period The data of displacement sensor (6) and second displacement sensor (5).
Second step establishes the model of thermal change amount Yu spindle box upper and lower surface temperature
If the data of the first temperature sensor (1) acquisition are t1, the data of second temperature sensor (3) acquisition are t2, first The data of displacement sensor (6) acquisition are p1, the data of second displacement sensor (5) acquisition are p2.T is obtained according to formula (1)1's Increment △ t1、t2Increment △ t2、p1Increment △ p1And p2Increment △ p2。△t1With △ t2Curve as shown in figure 3, △ p1 With △ p2Curve it is as shown in Figure 4.
The distance of spindle box (2) upper surface to lower surface is 210mm, spindle box (2) lower surface to second displacement sensor (5) distance is 280mm, and the distance of second displacement sensor (5) to the first displacement sensor (6) is 76.2mm.
According to main axle structure and data △ p1With △ p2, spindle box (2) upper surface thermal change is calculated based on formula (2)~formula (12) Change amount eupperWith lower surface thermal change amount elower.Based on formula (13), coefficient a is calculated using least square method1、a2、b1And b2Point It Wei 5.76,0.37,4.85 and -0.08.
Third step, the judgement of the real-time thermal deformation posture of main shaft
Main shaft is enabled to heat up with 10000r/min continuous service 4 hours, later static cooling 3 hours.In main shaft operational process, Acquire the numerical value of the first temperature sensor (1) and second temperature sensor (3) in real time with the period of 10s.Based on formula (13), according to The temperature data at current time calculates spindle box upper and lower surface thermal change amount eupperAnd elower
The main shaft thermal deformation posture at current time, i.e. main shaft thermal drift error are calculated according to formula (14)~formula (25) (such as Shown in Fig. 5 (a)) and hot heeling error (shown in such as Fig. 5 (b)), to realize the judgement to the real-time thermal deformation posture of main shaft.

Claims (1)

1. a kind of method for determining the real-time thermal deformation posture of main shaft, firstly, being surveyed respectively using temperature sensor and displacement sensor Try the temperature and main shaft radial direction Thermal Error of spindle box upper and lower surface when main shaft operation;Then, it is calculated according to main shaft radial direction Thermal Error The thermal change amount of spindle box upper and lower surface, and establish the model of thermal change amount Yu spindle box upper and lower surface temperature;Finally, based on should Model determines the real-time thermal deformation posture of main shaft according to the spindle box upper and lower surface temperature acquired in real time;It is characterized in that, step is such as Under:
The first step, temperature and Thermal Error test
First temperature sensor (1) is arranged in the upper surface of spindle box (2), and second temperature sensor (3) is arranged in spindle box (2) Lower surface;Check bar (4) is fixed on main shaft by knife handle interface;First displacement sensor (6) and second displacement sensor (5) It is arranged in check bar (4) side, wherein second displacement sensor (5) is close to main shaft nose;
Test process are as follows: main shaft is heated up for M hours first with revolving speed R continuous service, and revolving speed R is not higher than maximum speed of spindle, Main shaft, which stops operating, later cools down N hours;In the process, the first temperature sensor (1), second temperature are acquired with some cycles The data of sensor (3), the first displacement sensor (6) and second displacement sensor (5);
Second step establishes the model of thermal change amount Yu spindle box upper and lower surface temperature
If the data of the first temperature sensor (1) acquisition are t1, the data of second temperature sensor (3) acquisition are t2, the first displacement The data of sensor (6) acquisition are p1, the data of second displacement sensor (5) acquisition are p2;T is obtained according to formula (1)1Increment △t1、t2Increment △ t2、p1Increment △ p1And p2Increment △ p2
If the distance of spindle box (2) upper surface to lower surface is A1, spindle box (2) lower surface to second displacement sensor (5) away from From for A2, the distance of second displacement sensor (5) to the first displacement sensor (6) is A3
(1) thermal expansion amount of spindle box upper and lower surface is calculated
According to main axle structure and data △ p1With △ p2, spindle box (2) upper surface thermal change amount e is calculated based on following methodsupperWith Lower surface thermal change amount elower
If the calculation formula of intermediate variable α and β are as follows:
According to current time α, β, △ p1With △ p2Relationship, be divided into following situations calculate current time spindle box upper and lower surface Thermal change amount;
A) as △ p1(i) >=0, △ p2(i) >=0, △ p1(i)>△p2(i), β (i)≤A2When:
B) as △ p1(i) >=0, △ p2(i) >=0, △ p1(i)>△p2(i), β (i) > A2, β (i)≤(A1+A2) when:
C) as △ p1(i) >=0, △ p2(i) >=0, △ p1(i)>△p2(i), β (i) > (A1+A2) when:
D) as △ p1(i) >=0, △ p2(i) >=0, △ p1(i)≤△p2(i) when:
E) as △ p1(i) > 0, △ p2(i) < 0 when:
F) as △ p1(i) < 0, △ p2(i) > 0 when:
G) as △ p1(i) < 0, △ p2(i) < 0, △ p1(i)≥△p2(i) when:
H) as △ p1(i) < 0, △ p2(i) < 0, △ p1(i)<△p2(i), β (i) > (A1+A2) when:
I) as △ p1(i) < 0, △ p2(i) < 0, △ p1(i)<△p2(i), β (i) < (A1+A2), β (i) > A2When:
J) as △ p1(i) < 0, △ p2(i) < 0, △ p1(i)<△p2(i), β (i)≤A2When:
(2) model of spindle box upper and lower surface thermal change amount and temperature is established
Shown in the relational model such as formula (13) of spindle box upper and lower surface thermal change amount and upper and lower surface temperature:
A in formula1、a2、b1And b2For coefficient;
Using least square method, according to data eupper、elower、△t1With △ t2A is calculated1、a2、b1And b2
Third step, the judgement of the real-time thermal deformation posture of main shaft
In main shaft operational process, the number of the first temperature sensor 1 and second temperature sensor 3 is acquired with some cycles (such as 10 seconds) According to;Based on formula (13), spindle box upper and lower surface thermal change amount e is calculated according to the temperature data at current timeupperAnd elower;It presses According to following method, current time main shaft thermal deformation posture is determined in the case where not using displacement sensor;
If shown in the calculating of intermediate variable γ such as formula (14):
According to current time eupper、elowerWith the relationship of γ, the main shaft at current time is calculated separately at first by following situations The radial Thermal Error △ p of displacement sensor (6) and second displacement sensor (5) positionc1With △ pc2
A) work as eupper(i)≥0、elower(i) >=0, eupper(i)≥elower(i), γ (i)≤A2When:
B) work as eupper(i)>0、elower(i) < 0 when:
C) work as eupper(i)<0、elower(i) < 0, eupper(i)≥elower(i) when:
D) work as eupper(i)<0、elower(i) < 0, eupper(i)<elower(i), γ (i) > (A2+A3) when:
E) work as eupper(i)≥0、elower(i) >=0, eupper(i)>elower(i), γ (i)≤(A2+A3), γ (i) > A2When:
F) work as eupper(i)<0、elower(i) < 0, eupper(i)<elower(i), γ (i)≤(A2+A3), γ (i) > A2When:
G) work as eupper(i)≥0、elower(i) >=0, eupper(i)>elower(i), γ (i) > (A2+A3) when:
H) work as eupper(i)≥0、elower(i) >=0, eupper(i)≤elower(i) when:
I) work as eupper(i)<0、elower(i) > 0 when:
J) work as eupper(i)<0、elower(i) < 0, eupper(i)≤elower(i), γ (i)≤A2When:
According to △ pc1With △ pc2, the thermal deformation posture of main shaft, i.e. main shaft radial direction Thermal Error E are calculated according to formula (25)thermalAnd heat Heeling errorIn this way, determining the real-time thermal deformation posture of main shaft:
CN201910100942.XA 2019-01-31 2019-01-31 Method for judging real-time thermal deformation posture of main shaft Active CN109623493B (en)

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US16/603,467 US20200311321A1 (en) 2019-01-31 2019-02-21 Method for determining real-time thermal deformation attitude of spindle
PCT/CN2019/075715 WO2020155230A1 (en) 2019-01-31 2019-02-21 Method for determining real-time thermal deformation attitude of spindle

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